Question

A cylindrical pole having a height of 20 m, and a base radius of 6 m is placed on a hill station. Due to some external force, the pole gets tilted a little to its right side. What is the volume of the pole after the external force has been applied to it? (in m${}^3$)

• A. 2400

Answer 1

The correct option is A 2400
Given,

Height of the cylindrical pole = 20 m

Base radius of the pole = 6 m

$\text{Volume of the pole}=\pi \times r^2\times h$

$=\pi \times {20}^2\times 6$

$=\pi \times 400\times 6$

$=2400\pi {\text{ft}}^3$

We already know that if any similar solids have the same height and corresponding cross-sectional areas, then they will have the same volume irrespective of the shape.

So, the volume of the tilted pole will have the same volume as that of the original pole i.e., 2400 m${}^3$.